A lifeguard is sitting on a platform, looking down at a swimmer in the water. If the lifeguard′s line of sight is 8 feet above the ground and the swimmer is 30 feet away from the base of the lifeguard platform. What is the angle of elevation from the swimmer to the lifeguard?

a. x ≈ 75.1°
b. x ≈ 23°
c. x ≈ 14.9°
d. x ≈ 15.5°

What is the distance from the lifeguard to the swimmer? Round your answer to the nearest foot.

a. y ≈ 38 feet
b. y ≈ 31 feet
c. y ≈ 22 feet
d. y ≈ 36 feet

20

step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

answer: i'm great at algebra

~coco

step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph